Answer:
The relationship between the number of months and the total amount paid is proportional for both Hank's and Lynn's loans.
Step-by-step explanation:
Hank and Lynn are both paying off car loans
Hank paid $2,000 upfront when he bought his car, and he pays $200 each month.
Therefore, the total amount paid (C(h)) after x months by given by
C(h) = 2000 + 200x ......... (1)
So, this relation is proportional but not directly proportional.
Lynn did not pay any money upfront when she bought her car, and she pays $275 each month.
Therefore, the total amount paid (C(l)) after x months by given by
C(l) = 275x ......... (2)
So, this is a directly proportional relation which is also proportional.
hope it helps mark me as brainliest.
Between 11 P.M. and 8:45 A.M., the water level in a swimming pool decreased by 3/8 in. Assuming that the water level decreased at a constant rate, how much did the water level drop each hour?
Answer:
the water level drop per hour is [tex]\frac{1}{26}\,\,\frac{in}{h} \approx 0.03846\,\,\frac{in}{h}[/tex]
Step-by-step explanation:
Notice that in between 11 PM and 8:45 AM on the following day, there is a change in time equal to 9 hours and 45 minutes = 9.75 hours.
If the water level of the pool dropped by 3/8 of an inch, and the rate was constant, then the rate of level drop per hour is:
[tex]\frac{\frac{3}{8} in}{9.75\,h} =\frac{1}{26}\,\,\frac{in}{h} = 0.03846\,\,\frac{in}{h}[/tex]
What is the simplified form of the expression?
(3x^2+5x-8)+(5x^2-13x-5)
= 3x^2 + 5x^2 = 8x^2
5x - 13x = -8x
-8 + -5 = -13
=> 8x^2 - 8x - 13
: B
Answer:
8x2 − 8x − 13
Step-by-step explanation:
(((3•(x2))+5x)-8)+((5x2-13x)-5)
((3x2 + 5x) - 8) + (5x2 - 13x - 5)
Factoring 8x2-8x-13
The first term is, 8x2 its coefficient is 8 .
The middle term is, -8x its coefficient is -8 .
The last term, "the constant", is -13
Step-1 : Multiply the coefficient of the first term by the constant 8 • -13 = -104
Step-2 : Find two factors of -104 whose sum equals the coefficient of the middle term, which is -8 .
-104 + 1 = -103
-52 + 2 = -50
-26 + 4 = -22
-13 + 8 = -5
-8 + 13 = 5
-4 + 26 = 22
-2 + 52 = 50
-1 + 104 = 103
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Final result :
8x2 - 8x - 13 ✅
???? Answer please anyone
Answer:
The answer is 4 3/4
Sweets are sold loose, or pre-packed in 120g bags. The 120g bags are £1 49 each The loose sweets are £0.89 for 100g By calculating the price per gram, determine which is better value. Show your working
To find the better deal divide the price by the weight of each and compare:
1.49 / 120 = 0.012 per gram
0.89/ 100 = 0.0089 per gram
Buying loose is the better deal because the price per gram is smaller
Subtract 4x4 + 2x² +5 from the sum of 2x4 - 4x2–3 and 3x4 - 3x² +9.
Answer:
x^4-9x²+1
Work:
Brainliest? Answer ASAP plz Which of the following values are in the range of the function graphed below? Check all that apply.
Answer: D.6
Step-by-step explanation:
The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain. In plain English, the definition means: The range is the resulting y-values we get after substituting all the possible x-values.
The on;y possible value for y is Y=6, so the answer is D
Answer:
6
Step-by-step explanation:
The range is the output values, or in this case the y values
The only y value is 6
The range is 6
Anyone who can do this will be goated. B is the midpoint of segment AC Find the value of x. M is the midpoint of segment VW. Find the value of X
Answer:
The answer the to first image is X=2. The answer to the second image is X=4.
Step-by-step explanation:
Los lados de un triángulo rectángulo miden 6m, 8m y 10m. respectivamente. ¿Cuánto medirán los catetos de un triángulo semejante al primero si su hipotenusa mide 15m?
Answer: Los catetos medirán 12m y 9m.
Step-by-step explanation:
Bueno, sabemos que los lados de nuestro triangulo son 6m, 8m y 10m.
Podemos usar relaciones trigonométricas para encontrar los ángulos de este triangulo.
Cos(X) = cateto adyacente/hipotenusa
Si tomamos al cateto adyacente como 8m, tenemos:
Cos(X) = 8m/10m
X = Acos(8/10)
Esto nos dice que para que nuestro otro triangulo rectángulo sea equivalente al primero, entonces los nuevos catetos C1 y C2 tienen que ser tal que los cocientes entre los catetos y la hipotenusa se mantengan constantes:
C1/15m = 8m/10m
C1 = (8/10)*15m = 12m
C2/15m = 6m/10m
C2 = (6/10)*15m = 9m.
LAT QUESTION AND LAST TRY!!! WILL GIVE BRANLIEST!!!! AT LEAST TAKE A LOOK, SHARE YO SMARTNESSS!!!!!!!! PLS
The picture represents a final step used in...
A) constructing a 2-inch segment
B) constructing angle bisectors
C) constructing a 3-inch segment
D) constructing congruent segments
l
P.-----------------------------------.Q l
R.------------------------------------------.l S
l
l
Answer:
DStep-by-step explanation:
if the picture represents a final step you can just look at the picture and see if it has a answerThe solution is Option D.
The figure represents a construction of congruent segments
What are Congruent Triangles?Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape. Congruent Triangles simply mean the triangles that possess the same size and shape
The three sides are equal (SSS: side, side, side)
Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)
Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)
A right angle, the hypotenuse and a corresponding side are equal (RHS, right angle, hypotenuse, side)
Given data ,
Let the first line segment be represented as P
Let the second line segment be represented as Q
Now , the equation will be
The length of the line segment P is congruent to the line segment Q
Therefore , the line segments P and Q are congruent to each other
Hence , the figure represents a construction of congruent segments
To learn more about congruent triangles click :
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A student is running a 3 km race he runs 1 km every two minutes. Select the function that describes distance from the finish line after X minutes
x - number of minutes;
f ( x ) - the distance from the finish line.
x : 0 2 4 6
f ( x ) : 3 2 1 0
f ( x ) = 3 - x/2
Answer: B ) f ( x ) = -1/2 x + 3
Given the equations below what is the value of ab?
10b-9a=6
b-a=1
Answer:
12
Step-by-step explanation:
Adding a to both sides of the second equation we get b = a+1
Substituting this in we get
10a + 10 - 9a=6
a +10 =6
a=-4
Putting this back in to the second one we get b+4=1
B=-3
-4*-3=12
The value of ab = 36.
We have the following equations -
10b - 9a = 6
b - a = 1
We have to determine the value of ab.
If [tex]a^{2} -b^{2} = \pi[/tex] and [tex]a + b = 4\pi[/tex] then the value of (a - b) will be ?We have - [tex]a^{2} -b^{2} = \pi[/tex]
(a + b) (a - b) = [tex]\pi[/tex]
a - b = [tex]$\frac{\pi }{4\pi }[/tex] = 1/4
According to question, we have -
10b - 9a = 6
b - a = 1
Now -
b - a = 1
a = b
Therefore -
10b - 9a = 6
10b - 9b = 6
b = 6 = a
ab = 6 x 6 = 36
Hence, the value of ab = 36.
To solve more questions on finding unknowns, visit the link below -
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1. Which point represents a value that is less
than -1 and greater than -5?
How many tablespoons are in 5 quarts
This equals 320 tablespoons.
What is the difference? Negative 6 minus (11) –17
Answer:
-34
Step-by-step explanation:
-6-(11)-17
-6-11-17
-34
Find the slope of the line that passes through (2, 12) and (5, 10).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
The right answer is -2/3
please see the attached picture for full solution
Hope it helps..
Good luck on your assignment..
Answer:
-2/3
Step-by-step explanation:
m = (y2-y1)/(x2-x1)
(10-12)/(5-2) = -2/3
ahh please help me with this question!!!!
Answer: B. 2∛3
Step-by-step explanation:
[tex]24^\frac{1}{3}[/tex] is equivalent to ∛24. This can actually be simplified. We can use prime factorization to simplify the cubed root.
24
/ \
2 12
/ \
2 6
/ \
2 3
From this prime factorization tree, we want to find a group of 3. The same number that appears 3 times.
We see that there are 3 2's. They are bolded above. Since there is a group of 3, we can pull the 2 out of the cubed root, as we are left with a 3 inside (underlined above).
Our final answer is 2∛3.
The domain of the function is given. Find the range.
f(x) = 2x - 1
Domain: (-2, 0, 2, 4)
Range: (5,1, -3,7)
Range: (-5, 1, -3,7)
Range: (-5, -1,3,7)
Range: [5, 1, +3, +7)
Answer:
Range={ -5,-1,3,7). [ option C]
Please see the attached picture for full solution..
Hope it helps..
Good luck on your assignment..
Please help! Correct answer only, please! The answer isn't C. Determine the value of the following if it is possible. If it is not possible, explain. A. B. C. D.
Answer:
| -6 0 |
| 12 21 |
Step-by-step explanation:
When we multiply a matrix by a scalar, each term in the matrix is multiplied by the scalar
3 | -2 0 |
| 4 7 |
becomes
| -6 0 |
| 12 21 |
Answer:
Solution : C
Step-by-step explanation:
This question involves scalar multiplication. Multiply each of the matrix elements by a scalar, in this case 3.
[tex]3\begin{bmatrix}-2&0\\ \:4&-7\end{bmatrix} = \begin{bmatrix}3\left(-2\right)&3\cdot \:0\\ 3\cdot \:4&3\left(-7\right)\end{bmatrix}[/tex]
Simplifying each element, we receive the following matrix,
[tex]\begin{bmatrix}-6&0\\ 12&-21\end{bmatrix}[/tex] - And hence our solution is option c
[tex]x^{2}-5x-24=0[/tex]
Quadratic Formula
Please show every step
Answer:
[tex]x=8,\:x=-3[/tex]
Step-by-step explanation:
[tex]x^2-5x-24=0\\\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\\mathrm{For\:}\quad a=1,\:b=-5,\:c=-24:\quad x_{1,\:2}=\frac{-\left(-5\right)\pm \sqrt{\left(-5\right)^2-4\cdot \:1\left(-24\right)}}{2\cdot \:1}\\\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}\\x=8,\:x=-3[/tex][tex]=\frac{5+\sqrt{\left(-5\right)^2+4\cdot \:1\cdot \:24}}{2\cdot \:1}\\5+\sqrt{\left(-5\right)^2+4\cdot \:1\cdot \:24}\\5+\sqrt{121}\\=\frac{5+\sqrt{121}}{2}\\=\frac{5+11}{2}\\=\frac{16}{2}\\=8\\\frac{-\left(-5\right)-\sqrt{\left(-5\right)^2-4\cdot \:1\cdot \left(-24\right)}}{2\cdot \:1}\\=\frac{5-\sqrt{\left(-5\right)^2+4\cdot \:1\cdot \:24}}{2\cdot \:1}\\5-\sqrt{\left(-5\right)^2+4\cdot \:1\cdot \:24}\\\left(-5\right)^2\\=25\\4\cdot \:1\cdot \:24\\=96\\=5+\sqrt{25+96}\\[/tex]
[tex]\frac{5-\sqrt{121}}{2\cdot \:1}\\\frac{5-11}{2}\\=-\frac{6}{2}\\=-3\\[/tex]
The average of 2, 3, and what number is 10?
Answer:
the average number of 2 and 3 is 2.5 and 10 is an integer
Step-by-step explanation:
Draw the line with equation y=-12x+1
Answer:
See below
Step-by-step explanation:
I attached a picture of the graph below. It has a slope of -1/2 and a y intercept of 1. Hope this helps!
to those who need points 4-9+5/6*33
Answer:
22.5
Step-by-step explanation:
[tex]4-9+\dfrac{5}{6}\cdot 33= \\\\\\4-9+27.5= \\\\\\-5+27.5= \\\\\\22.5[/tex]
Hope this helps!
Answer:
22.5
Step-by-step explanation:
4-9+5/6*33
-5+165/6
= 22.5
Please help ASAP!
Does this represent a nonlinear function, a linear function, or not a function?
Answer:
Not a function
Step-by-step explanation:
This is not a function because there are different outputs for the same input.
Answer:
NOT A FUNCTION
Step-by-step explanation:
a function cant have multiple y coordinates for the same X
∞¬
ω
PLEASE HELP!
The following are the last 10 run scores Colin got in cricket: 31, 10, 26, 16, 28, 31, 9, 11, 8, 1 a) Work out Colin's mean score. b) Colin plays cricket again on Sunday. He gets 27 runs. What is his new mean score? Give your answers as decimals.
Answer:
Colin's mean score = 17.10
The new mean is 18.00
Step-by-step explanation:
Given scores: 31, 10, 26, 16, 28, 31, 9, 11, 8, 1
number of terms: 10
mean is calculated by given formula = sum of all the data set/ number of terms in the data set.
mean for the 10 scores = (31+ 10+ 26+ 16+ 28+ 31+ 9+ 11+ 8+ 1 )/10
= 171/10 = 17.1
Colin's mean score = 17.10
____________________________________________
runs scored by Colin in 11th match = 27
number of terms: 11
new mean = new sum /number of terms
new mean = (old sum score + 27)/11 = (171+27)/11
new mean = 198/11 = 18
The new mean is 18.00
A geometric sequence has the explicit formula an = (-2) x 3^n- 1. What is the 4th term?
Answer:
-54
Step-by-step explanation:
Please write this sequence in the following form: a(n) = (-2)*3^(n- 1)
Then a(1) = -2*3^0 = -2
a(2) = -2*3^(2 - 1) = -6
a(3) = -2*3^(3 - 1) = -2*9 = -18
a(4) = -2*3^(4-1) = -2*27 = -54
What is the average rate of change from
x = 10 to x = 15?
Answer:
✔ -2
Step-by-step explanation:
correct
Answer:
-2 is your answer
Step-by-step explanation:
Can anyone help solve this
Answer:
Step-by-step explanation:
The solution or solutions to a system are where the 2 graphs intersect each other. Our graph goes up by 2 units. The point of intersection on the left is at (-6, 8) and the point of intersection on the right is at (2, 0).
what is square foot of -100
Answer:
10
Step-by-step explanation:
the square root of 100 is 10
√100=10
Answer: 10 + i
thats answer
3x-2y=-4 can someone find the slope and y intercept for this? thank you.
Answer:
[tex]Slope:\frac{3}{2}\\y-intercept:2[/tex]
Step-by-step explanation:
Please help! Correct answer only!
Cooper and Alice made a list of 7 psychology experiments they want to try at home. Each experiment tackles one specific psychology topic. 5 of the experiments involve cats.
If Cooper and Alice randomly choose 4 experiments to try over the summer, what is the probability that all of them involve cats?
Write your answer as a decimal rounded to four decimal places.
Answer:
Probability = 0.2603
Step-by-step explanation:
Consider the steps below;
[tex]Probability of Experiment Involving Cats - 5 / 7,\\Probability That 4 Chosen Experiments Are All Involving Cats - ( 5 / 7 )^4,\\\\5 / 7 * 5 / 7 * 5 / 7 * 5 / 7 =\\\\Conclusion; Probability - 625 / 2401[/tex]
Solution; Probability = ( About ) 0.2603